{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2-高斯核函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from sklearn import svm\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import scipy.io as sio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# kernek function 高斯核函数\n",
    "def gaussian_kernel(x1, x2, sigma):\n",
    "    return np.exp(- np.power(x1 - x2, 2).sum() / (2 * (sigma ** 2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.32465246735834974"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x1 = np.array([1, 2, 1])\n",
    "x2 = np.array([0, 4, -1])\n",
    "sigma = 2\n",
    "\n",
    "gaussian_kernel(x1, x2, sigma)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_keys(['__header__', '__version__', '__globals__', 'X', 'y'])\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>X1</th>\n",
       "      <th>X2</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.107143</td>\n",
       "      <td>0.603070</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.093318</td>\n",
       "      <td>0.649854</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.097926</td>\n",
       "      <td>0.705409</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.155530</td>\n",
       "      <td>0.784357</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.210829</td>\n",
       "      <td>0.866228</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         X1        X2  y\n",
       "0  0.107143  0.603070  1\n",
       "1  0.093318  0.649854  1\n",
       "2  0.097926  0.705409  1\n",
       "3  0.155530  0.784357  1\n",
       "4  0.210829  0.866228  1"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat = sio.loadmat('./data/ex6data2.mat')\n",
    "print(mat.keys())\n",
    "data = pd.DataFrame(mat.get('X'), columns=['X1', 'X2'])\n",
    "data['y'] = mat.get('y')\n",
    "\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(863, 3)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# visualize data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sYQ9zSYn8uZ2ETd2ymzH+iUcwZsF8AM62ZfOFNyt7IqdOWUWVoG3WsnkRQSA6EWDdS5jP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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb95f6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set(context=\"notebook\", style=\"white\", palette=sns.diverging_palette(240, 10, n=2))\n",
    "sns.lmplot('X1', 'X2', hue='y', data=data, \n",
    "           size=5, \n",
    "           fit_reg=False, \n",
    "           scatter_kws={\"s\": 10}\n",
    "          )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# try built-in Gaussian Kernel of sklearn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=100, cache_size=200, class_weight=None, coef0=0.0,\n",
       "  decision_function_shape='ovr', degree=3, gamma=10, kernel='rbf',\n",
       "  max_iter=-1, probability=True, random_state=None, shrinking=True,\n",
       "  tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svc = svm.SVC(C=100, kernel='rbf', gamma=10, probability=True)\n",
    "svc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9698725376593279"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "svc.fit(data[['X1', 'X2']], data['y'])\n",
    "svc.score(data[['X1', 'X2']], data['y'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "the `predict_proba` will give you ndarray (data size, class)  \n",
    "so if you just want to plot the decision contour of this binary example, choose one class and plot it "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "predict_prob = svc.predict_proba(data[['X1', 'X2']])[:, 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fPZemFQF2WwRGuLOAsY+d0FXqUbISklw9FiXBF+5gRpaFJXn7D8cAVTJrLAvJGlYNXd1M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DDABFZ85h0xvv4fEf1tRGU+skLMuiy+iR+PV9z1rVOUpymH5ybvdefJ71AEqkQMUdi5Yia+67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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb9f0a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "ax.scatter(data['X1'], data['X2'], s=30, c=predict_prob, cmap='Reds')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
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